Y-coretractable and Strongly Y-coretractable Modules

Authors

  • Inaam Mohammed Ali Hadi Department Of Mathematics, College 0f Education for Pure Sciences (Ibn-Al-Haitham) , University Of Baghdad
  • Shukur Neamah Al-aeashi Department Of Urban Planning , College 0f Physical Planning, University Of Kufa

Keywords:

coretractable module, Y-coretractable module, C-coretractable module

Abstract

Let R be a ring with identity and M be an R-module with unitary . In this paper we introduce the notion of Y-coretractable module . Some basic properties of this class of modules are investigated and some relationships between these modules and other related concepts are introduced .

References

B. Amini ˛, M. Ershad, and H. Sharif, “CORETRACTABLE MODULES,†J. Aust. Math. Soc, vol. 86, no. 3, pp. 289–304, 2009.

I. Mohammed and A. Hadi, “Strongly Coretractable Modules,†Iraqi J. Sci. ( to Appear ), pp. 1–9.

I. Mohammed Ali Hadi and S. Neamah Al-aeashi, “C-CORETRACTABLE AND STRONGLY C-CORETRACTABLE MODULES.†, International J. of pure and apllied math. (to appear) .

S. Asgari, & A. Haghany, and A. Haghany, “t-Extending Modules and t-Baer Modules,†Commun. Algebr. ®, 2011.

S. A. Al-saadi " S-Extending Modules And Related Concepts " Ph.D. Thesis, Al-Mustansiriya University, Baghdad,Iraq, 2007.

Z.Qing-yi , " On Generalized Extending Modules " , J. of Zhejiang University Science , 1862-1755 (on line).

E.Akalan,G.F.Birkenmeier and A.Tarcan,"Goldie Extending Modules ",Comm.in Algebra,663- 683,37,2,(2009) .

L.H.Sahib," Extending , Injectivity and Chain Conditions On Y-closed Submodules" , M.sc. Thesis, University Of Baghdad , Iraq, 2012.

K.R. Goodearl " Ring Theory , Nonsingular Rings and Modules ". New York,Marcel Dekker, 1976.

Z.T.Al-Zubaidey,"On Purely Extending Modules", Msc.Thesis , Univ. of Baghdad , Iraq , 2005.

I.M.Ali Hadi , Sh. N. Al-aeashi," Strongly Coretractable Modules and Related Concepts", Journal Of Advances In Mathematics , Vol. 12, No. 12 , Pp.6881-6888 . 2016 .

A.Tercan ,"On CLS-Modules" ,Rocky Mountain J.Math. 25(1995).

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Published

2017-04-22

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How to Cite

Y-coretractable and Strongly Y-coretractable Modules. (2017). Asian Journal of Applied Sciences, 5(2). https://ajouronline.com/index.php/AJAS/article/view/4691

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